Advances in Numerical Methods in Geotechnical Engineering by Hany Shehata & Chandrakant S. Desai

Author:Hany Shehata & Chandrakant S. Desai
Language: eng
Format: epub
ISBN: 9783030019266
Publisher: Springer International Publishing

2.4 Two-Dimensional Stability and Reliability Analysis of River Walls

The stability and the strength of walls were analyzed by the use of physical and mechanical properties of the masses and relationships governing the strength and the behavior of walls.

The proposed method of analysis used for the 2D mechanical modeling was Key Groups Methods (Yarahmadi-Verdel 2004) which is based on the equilibrium point analysis. Finally, the results of this method were compared with the results from numerical analysis of the discrete elements method by UDEC Software.

After determining the geometric properties of the joints by statistical methods, 3D geometric modeling was performed statistically using a model developed in Mathematica programming environment to provide a two-dimensional analysis of radial cross-section radius at the place where the river has a curvature. Furthermore, the mechanical model of the sections was implemented on geometric modeling and the analysis was performed statically (point equilibrium) using the key groups method.

The probabilistic model of the walls was also constructed to evaluate and reduce the ambiguities existing in the mechanical model. Variables included in this model were: first and second order statistical moments (mean and SD), strength parameters of joint surfaces (c and φ), density of rock material (γ), and pairwise covariance values of the components. The information from the statistical data of the above parameters was used for subsequent analysis.

In probabilistic modeling, FORM method was used for the performance of reliability analysis. At this stage, the reliability analysis was performed based on the reliability coefficient and the possible loss of the 2D radial cross-section.

The output from each of the probabilistic analyses in accordance with stability indices presented in Tables 2 and 3 include a safety factor, the probability of a safety factor value less than one, Pr (SF < 1.0), the probability of a safety factor value less than one and a half, Pr (SF < 1. 5), and reliability index (β) for these two probabilities. After this stage, unstable groups and the most unstable key group were determined using the above stability indexes.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.